Perturbative and nonperturbative renormalization of anomalous quark triangles

2002/12/23 by A.I. Vainshtein, Arkady Vainshtein · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2003.07.038

published as Phys.Lett. B569 (2003) 187-193 · Revtex, 9 pages, 1 figure. A few references are added, discussion is extended

arxiv created 2002/12/23 · openalex publication_date 2003/08/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Anomalous quark triangles with one axial and two vector currents are studied in special kinematics when one of the vector currents carries a soft momentum. According to the Adler–Bardeen theorem the anomalous longitudinal part of the triangle is not renormalized in the chiral limit. We derive a new nonrenormalization theorem for the transversal part of the triangle. This nonrenormalization, in difference with the longitudinal part, holds on only perturbatively. At the nonperturbative level we use the operator product expansion and the pion dominance in the longitudinal part to determine the magnetic susceptibility of the quark condensate, χ=−Nc/(4π2Fπ2).

Citations

• Axial-Vector Vertex in Spinor Electrodynamics

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